Thursday's 2-0 victory over Sheffield United handed Liverpool the incredible record of going a full calendar year without losing a game in the Premier League.
The result leaves the Merseyside club 13 points ahead of closest challengers Leicester City with a game in hand, leading many to believe that the title is already destined for Anfield.
However, while Liverpool's resurgence in the league and in Europe has been remarkable, such success has not replicated itself in the FA Cup during the Klopp era.
Since the 2015-16 campaign, Liverpool have not gone beyond the fourth round, exiting the competition at that stage on three occasions and losing to Wolverhampton Wanderers in the third round last term.
Having not won the accolade since 2006, supporters will hope that their team places greater emphasis on going deeper in this competition - starting with a tantalising meeting with their biggest rivals under the lights on Sunday.
Since then, however, the Toffees have discovered a sense of rhythm that seemed to elude Silva and his players from the moment the 2019-20 campaign kicked off.
Following a galvanising victory over Chelsea under caretaker boss Darren Ferguson, the club secured the services of Champions League winner Ancelotti in what must be viewed as a masterful piece of recruitment.
The Italian has exerted an immediate impact, recording a pair of dominant victories over Burnley and Newcastle United ahead of performing impressively during a 2-1 defeat to Manchester City at the Etihad.
Indeed, Ancelotti will point to the organisation and energy of that performance as a blueprint for how Everton must negotiate the trip to Anfield this weekend.
Liverpool form (all competitions): LWWWWW
Everton form (all competitions): DLDWWL
Liverpool's hectic Christmas schedule has inevitably precipitated a number of injuries, with eight players carrying various problems ahead of this game.
Nathaniel Clyne is still out as he continues to recover from suffering ligament damage over pre-season.
For Everton, Ancelotti faces an anxious wait over the fitness of Morgan Schneiderlin, Yerry Mina and Fabian Delph, although Jean-Philippe Gbamin and Alex Iwobi are not expected to come back until later in the month.
Andre Gomes, who broke his ankle in November, will not return to action for the foreseeable future.
Liverpool possible starting lineup:
Adrian; Hoever, Van Dijk, Gomez, Robertson; Henderson, Wijnaldum; Lallana, Salah, Firmino, Elliot
Everton possible starting lineup:
Pickford; Sidibe, Holgate, Keane, Digne; Davies, Sigurdsson, Walcott, Richarlison; Calvert-Lewin, Kean
We say: Liverpool 4-1 Everton
Even with a weakened team and in a competition where they have struggled in recent seasons, Liverpool's insatiable home form, combined with Everton's woeful record at Anfield, means that a big victory for Klopp's side is by far the most likely outcome.